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Physical Review Letters

Extending the Observation Time of Charged Helium Droplets to the Minute Timescale

Matthias Veternik, Tobias Waldhütter, Lutz Schweikhard, P. Scheier, Elisabeth Gruber

Published Nov 10, 2025• 0 citations
Publisher

Abstract

We report on the successful trapping of micrometer-sized, multiply-charged helium droplets over periods of several seconds up to a minute-the first observation of trapped charged helium droplets. Within a meter-long multireflection mass spectrometer, the droplets complete thousands of revolutions, opening up new possibilities for precision measurements of these unique systems. Their confinement is limited by collisions with residual gas, which gradually reduce their kinetic energy through evaporation of helium atoms from the droplet and prevent extraction from the trap below a critical value. The rate of energy loss is strongly influenced not only by the residual gas density, but also by the type of species picked up by the droplets. In particular, infrared absorption by water cluster ions inside the droplets enhances energy transfer to the helium matrix, leading to accelerated evaporation of helium atoms.

DOI
10.1103/yr98-h791

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We report on the successful trapping of micrometer-sized, multiply-charged helium droplets over periods of several seconds up to a minute-the first observation of trapped charged helium droplets. Within a meter-long multireflection mass spectrometer, the droplets complete thousands of revolutions, opening up new possibilities for precision measurements of these unique systems. Their confinement is limited by collisions with residual gas, which gradually reduce their kinetic energy through evaporation of helium atoms from the droplet and prevent extraction from the trap below a critical value. The rate of energy loss is strongly influenced not only by the residual gas density, but also by the type of species picked up by the droplets. In particular, infrared absorption by water cluster ions inside the droplets enhances energy transfer to the helium matrix, leading to accelerated evaporation of helium atoms.
Abstract The detection of multiply charged helium droplet anions is reported for the first time. By ionizing droplets of superfluid helium with low energy electrons (up to 25 eV), it was possible to produce droplets containing up to five negative charges, which remain intact on the timescale of the experiment. The appearance sizes for different charge states are determined and are found to be orders of magnitude larger than for the equivalent cationic droplets, starting at 4 million He atoms for dianions. Droplets with He*− as charge carriers show signs of being metastable, but this effect is quenched by the pickup of water molecules.
Superfluid helium nanodroplets are used to cool ions and form ion-neutral clusters at a temperature of 0.37 K. A desolvation technique was developed that allowed for the study of captured ions by mass spectrometry. From the mass spectrometry results it was determined that helium droplets may successfully capture sodium cations with kinetic energy of ~200 eV. Clusters of the neutral molecules H2O, N2, and HCN with Na+ were observed. Based on binding strength considerations, it is argued that the desolvation process imparts little energy into the ion-neutral clusters, avoiding dissociation. This result leads to the conclusion that ion-neutral clusters are formed within the droplet prior to desolvation, indicating that the helium snowball that is assumed to form around Na+ does not prevent ion-neutral cluster formation. This conclusion is supported by ab initio calculations, the results of which indicate the presence of barrierless pathways for neutral molecule insertion into the helium snowball surrounding Na+. The process of ion capture by helium droplets was studied by comparison of measured ion-doped droplet size distributions to known pre-ion capture droplet size distributions. The measured ion-doped droplet size distributions were affected by nozzle temperature, ion kinetic energy, and ion mass. These factors primarily affect two parameters of the ion-doped droplet size distribution, the minimum droplet size threshold, Nthr, and the droplet size at maximum signal intensity, Nmax. The effects of the studied factors on the measured distributions cannot be explained in terms of currently accepted droplet cooling mechanisms. Analysis of the results suggests that droplet doping efficiency can be improved in several ways, including a higher flux of lower-energy ions. An apparatus for the production and focusing of alkali cations at high fluxes and low energies is described. This apparatus was able to produce higher ion currents at lower kinetic energies than previous ion sources.
For the past 30 years, helium nano-droplets have been of particular interest to experimentalists.Indeed, this is a cold dense finite liquid environment which is an excellent matrix forspectroscopy applications, in atomic and molecular collision physics as well as in ultra coldchemistry with ability of isolating interesting reactions intermediates like HOCO in OH + CO→ CO2 + H or to synthesize new materials as metallic nano-wires. These phenomena areconsequences of the quantum collective behaviour of helium atoms at temperature T < 1 Kwhich classify helium nano-droplets as quantum liquids. In this thesis work we propose tomodel photo-dissociation [1] of immersed diatomic as molecular iodine, doping and rotationalexcitation of these droplets by using an home-made molecular dynamics developed by Pr.Marius Lewerenz, the CLUSTER code. To take the quantum nature of helium atoms intoaccount the methodology exploits the quantum effective potential technique [2] at experimentalwork temperature 0.37 K.With the photo-dissociation, an excitation above a molecular fragmentation limit leads to twopossible scenarios depending one the amortised energy by the helium droplets. The first one isthe fast recombination so-called ’cage effect’ [3] and the second is where photo-fragmentsreside in the helium bath. But with nano-meter scale of droplets a third scenario is possible withfragments leaving the cluster surrounded by a helium solvating shell. Results are shown forhelium nano-droplets containing thousands atoms (2500 to 9000 He) and statistics on size andvelocity of I@Hen photo-fragments have been computed and are similar to experimentaloutcomes for analogous system CH3I [4].According experiments using 1 fs X-ray flashes [5], the helium nano-droplets are geoids whichis a clue indicating a rotation on itself as the Earth. Our code can set precise angular momentumin order to study the pattern of distortion from fission to multiple splitting. To evaluate thenumbers of sub-cluster a Complete Clustering algorithm based on graph theory has beenprogrammed exhibiting a linear complexity.To conclude a study of xenon doping is presented where the recombination dynamics unveils ametastable state called Atkins’ snowball [6] and different patterns of aggregation as nano-crystals and nano-wires well known by experimentalists
Electron impact ionization of superfluid helium droplets containing several thousand atoms produces a broad distribution of Hen+ ions that peaks at n = 2 and decreases monotonically toward larger n. In larger droplets (say 105 or more atoms), however, the He4+ signal intensity is anomalously large. We have studied the mechanism for the formation of He4+ ions in large helium droplets by varying the duration of the electron impact excitation pulse. Droplets of different average sizes were generated using the expansion of helium at 20 bars and 9-20 K through a pulsed valve nozzle. The resulting ions were analyzed by time-of-flight mass spectroscopy (TOFMS) and quadrupole mass spectroscopy (QMS). The intensity distributions obtained with the TOFMS technique initially showed much smaller He4+ signals than those obtained using QMS. However, we discovered that the intensity anomaly is associated with the duration of the electron bombardment pulse in the TOFMS instrument. Measurements with different electron bombardment pulse durations enabled us to discern a characteristic time of ∼10 μs for enhanced He4+ production in large droplets under our experimental conditions. A qualitative model is presented in which metastables interact on droplet surfaces, yielding two He2+ cores that share a Rydberg electron while minimizing repulsion between the cores. This is the He4+(4A2) state suggested by Knowles and Murrell.
Helium nanodroplets doped with polar molecules are studied by electrostatic deflection. This broadly applicable method allows even polyatomic molecules to attain subkelvin temperatures and nearly full orientation in the field. The resulting intense force from the field gradient strongly deflects even droplets with tens of thousands of atoms, the most massive neutral systems studied by beam "deflectometry." We use the deflections to extract droplet size distributions. Moreover, since each host droplet deflects according to its mass, spatial filtering of the deflected beam translates into size filtering of neutral fragile nanodroplets. As an example, we measure the dopant ionization probability as a function of droplet radius and determine the mean free path for charge hopping through the helium matrix. The technique will enable separation of doped and neat nanodroplets and size-dependent spectroscopic studies.
Synopsis The capability of helium droplets to isolate cryogenic molecular ions at a temperature of 0.4 K is exploited to observe ultracold molecular processes in the RIKEN Cryogenic Electrostatic (RICE) storage ring. The development of a pulsed droplet beam consisting of extremely large helium droplets up to 1011 atoms is a promising step to apply this unique and robust cooling method to a wide variety of molecular ions. Production of ions by photoionization of neutral species inside helium droplets will provide internally cold ions below the ring temperature of 4 K.